Details

Time bar (total: 1.6s)

analyze32.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14

sample13.0ms

Algorithm
intervals
Results
5.0ms242×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
03567
13567

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ (- x y) 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04988157
14988157

prune33.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12416
Fresh000
Picked101
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x 1.5) (* y 0.5))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
3.0ms
(- (* x 1.5) (* y 0.5))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (* x 1.5) (* y 0.5))

simplify46.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05477151

prune25.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh123
Picked011
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.2b
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
flip3-+ flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
8.0ms
(+ x (/ (- x y) 2.0))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
21.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ x (/ (- x y) 2.0))
10.0ms
(sqrt (+ x (/ (- x y) 2.0)))
11.0ms
(sqrt (+ x (/ (- x y) 2.0)))
7.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051001365

prune141.0ms

Filtered
66 candidates to 119 candidates (-80.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh022
Picked011
Done011
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
0.0b
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
0.2b
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
0.3b
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
flip3-+ flip-+
cube-div
add-cbrt-cube distribute-lft-out
pow1/2
pow-pow sqr-pow
frac-times rem-sqrt-square add-log-exp
pow-unpow prod-exp
cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
9.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
9.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
27.0ms
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
13.0ms
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

series192.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
40.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
5.0ms
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
103.0ms
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

simplify59.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049622525
149622525

prune224.0ms

Filtered
86 candidates to 182 candidates (-111.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh033
Picked011
Done022
Total1826188

Merged error: 0.0b

Counts
188 → 6

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0357
1357

end0.0ms

sample348.0ms

Algorithm
intervals
Results
163.0ms7357×body80valid
22.0ms241×body1280valid
12.0ms166×body640valid
10.0ms88×body2560valid
5.0ms91×body320valid
2.0ms57×body160valid
0.0msbody80invalid

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